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The graph of the curve C with equation $y = f(x)$ is transformed to give the graph of the curve S with equation $y = -(x - 1) - 3$ - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 3

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Question 16

The-graph-of-the-curve-C-with-equation-$y-=-f(x)$-is-transformed-to-give-the-graph-of-the-curve-S-with-equation-$y-=--(x---1)---3$-Edexcel-GCSE Maths-Question 16-2019-Paper 3.png

The graph of the curve C with equation $y = f(x)$ is transformed to give the graph of the curve S with equation $y = -(x - 1) - 3$. The point on C with coordinates ... show full transcript

Worked Solution & Example Answer:The graph of the curve C with equation $y = f(x)$ is transformed to give the graph of the curve S with equation $y = -(x - 1) - 3$ - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 3

Step 1

Find the transformation applied to the point (7, 2)

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Answer

The transformation from curve C to curve S can be analyzed as follows:

  1. The equation of curve S is y=−(x−1)−3y = -(x - 1) - 3.
  2. To simplify this, we rewrite it as y=−x+1−3=−x−2y = -x + 1 - 3 = -x - 2.

Next, we determine how to transform the coordinates (7, 2) to find Q.

  1. Substitute x=7x = 7 into the equation of curve S:

    y=−7−2=−9y = -7 - 2 = -9

  2. Therefore, the transformed coordinates Q will be (7, -9).

Step 2

Final coordinates of Q

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Answer

The coordinates of Q are (7,−9)(7, -9).

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